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Taylor Series

Taylor Series Expansion

An infinite sum of polynomial terms that approximates a function around a point, used in calculators and numerical methods.

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Taylor Series is applied in computing through numerical algorithms that balance precision, performance, and memory. JavaScript uses 64-bit IEEE 754 floating-point for all numbers, providing ~15-17 significant decimal digits. For exact arithmetic (financial, cryptographic), BigInt or fixed-point libraries are required. Browser-based calculators implement taylor series using the same floating-point engine, making awareness of precision limitations important for correct results.

ตัวอย่าง

```
Taylor Series calculation:

  Input:  value = 42
  Apply taylor series: result = f(42)
  Output: result
```

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